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21210010100 = 22521012100001
BaseRepresentation
bin10011110000001101…
…110001000111110100
32000202011101011001122
4103300031301013310
5321414230310400
613424352043112
71350414053066
oct236015610764
960664334048
1021210010100
118aa4552574
12413b233498
132000295446
141052c9d736
158420d2685
hex4f03711f4

21210010100 has 36 divisors (see below), whose sum is σ = 46481444268. Its totient is φ = 8400000000.

The previous prime is 21210010097. The next prime is 21210010177. The reversal of 21210010100 is 101001212.

It can be written as a sum of positive squares in 6 ways, for example, as 5421082384 + 15788927716 = 73628^2 + 125654^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1039901 + ... + 1060100.

Almost surely, 221210010100 is an apocalyptic number.

21210010100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21210010100 is an abundant number, since it is smaller than the sum of its proper divisors (25271434168).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21210010100 is a wasteful number, since it uses less digits than its factorization.

21210010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2100116 (or 2100109 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 21210010100 its reverse (101001212), we get a palindrome (21311011312).

The spelling of 21210010100 in words is "twenty-one billion, two hundred ten million, ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 101 202 404 505 1010 2020 2525 5050 10100 2100001 4200002 8400004 10500005 21000010 42000020 52500025 105000050 210000100 212100101 424200202 848400404 1060500505 2121001010 4242002020 5302502525 10605005050 21210010100